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Finding the Fourth Proportional to 382,358.70, 527,798.16 and 287,140.50

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Solution

The fourth proportional to 382,358.70, 527,798.16 and 287,140.50 is: 396,361.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,358.70 : 527,798.16 = 287,140.50 : x
  2. Step 2: Convert to fraction form
    382,358.70/527,798.16 = 287,140.50/x
  3. Step 3: Cross multiply
    382,358.70x = 527,798.16 × 287,140.50
  4. Step 4: Simplify right side
    382,358.70x = 151,552,227,561.48
  5. Step 5: Solve for x
    x = 151,552,227,561.48/382,358.70
  6. Step 6: Final answer
    x = 396,361.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.